Abstract
The ideal flow theory is used to determine the optimal die profile for the drawing and extrusion of sheets under the conditions of a plane strain. The solution is based on the theory of characteristics. In contrast to the available solutions based on the ideal flow theory, it is assumed that a portion of the die is prescribed. The solution is reduced to evaluating ordinary integrals. As an example, a die profile is found assuming that a portion of this profile is given and is a circular arc.
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ACKNOWLEDGMENTS
This work was supported by the Russian Science Foundation, project no. 16-49-02026.
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Translated by A. Muravnik
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Lyamina, E.A., Novozhilova, O.V. Optimal Die Profile for the Plane Strain Drawing of Sheets. Math Models Comput Simul 11, 159–167 (2019). https://doi.org/10.1134/S2070048219020091
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DOI: https://doi.org/10.1134/S2070048219020091